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Finding the Third Proportional to 86,415,505.50 and 126,342,487.50

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Solution

The third proportional to 86,415,505.50 and 126,342,487.50 is: 184,717,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,415,505.50 : 126,342,487.50 = 126,342,487.50 : x
  2. Step 2: Convert to fraction form
    86,415,505.50/126,342,487.50 = 126,342,487.50/x
  3. Step 3: Cross multiply
    86,415,505.50x = 126,342,487.50 × 126,342,487.50
  4. Step 4: Simplify right side
    86,415,505.50x = 15,962,424,147,687,656
  5. Step 5: Solve for x
    x = 15,962,424,147,687,656/86,415,505.50
  6. Step 6: Final answer
    x = 184,717,129.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.